Vela, who plies his trade with La Liga club Real Sociedad, has not featured for his nation since 2011, when he earned his 35th cap as a second-half substitute in a 1-1 draw with Venezuela.
The reason for Vela's discontent with the Mexican Football Federation (FMF) stems from a six-month suspension earned for his involvement in a party after a friendly with Colombia in September 2010.
"Today, we're starting from zero," Herrera said of Vela, who turned down his offer to play at the World Cup in Brazil.
"Everybody is going to have the same possibility and opportunity. There will be a moment when [Inarritu] and I will look and talk to Vela," Herrera said.
"But we're very conscious of his thoughts, and we're clear that if he doesn't want to come to our call-up, and without an explanation, then we are going to close the door, completely.
"Vela is a great player. Hopefully we can count on him. He's a player that can make a difference."
